1.

Light of wavelength lambda is incident on slit of width d. The resulting diffraction pattern is observed on a screen placed at distance D. The linear width of central maximum is equal to width of the slit then D = .......

Answer»

`(d^(2))/(2lambda)`
`(d)/(lambda)`
`(2lambda^(2))/(d)`
`(2lambda)/(d)`

Solution :For first ORDER diffraction,
`d SIN theta= lambda`
For small angle,
`d (theta)=lambda`
For first order diffraction on both side of Q,
`d(2 theta)=2lambda`
but `theta=(X)/(D)`
`:.d((2X)/(D))=2lambda`
`:.(d(d))/(D)=2lambda( :.2x=d` given )
`:.(d^(2))/(D)=2 lambda`
`:.D=(d^(2))/(2lambda)`


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